Polynomial Operations

Factoring

100

Factor the following completely:

x^2-6x-16

(x-8)(x+2)

200

Factor the following completely:

4x^2+8x-60

4(x+5)(x-3)

300

Factor the following completely:

-x^4-4x^3+4x^2

-x^2(x-2)(x-2)

400

Factor the following completely:

300x^2-3

3(10x-1)(10x+1)

500

Factor the following expression fully:

16x^8y^4-81x^4y^12

(2x^2y-3xy^3)(2x^2y+3xy^3)(4x^4y^2+9x^2y^6)

Adding Polynomials

100

Add the following polynomials:

2x^2-3x+12

and

7x^2-5x-3

9x^2-8x+9

200

Find the sum of 

x^4-5x

and 

-x^4-3x^3-x

Express your solution in standard form.

-3x^3-6x

or

-3x(x^2+2)

300

A=4x^2-16

and 

B=3x-9-5x^2

Find and express the following in standard form:

A+B

-x^2+3x-25

400

Find the sum of twice the value of A and three times the value of B:

A=-x^2-1

B=5-x^2-2x

-5x^2-6x-13

500

Find the sum of half the value of A and the value of B squared:

A=x^4-2x^2+10

B=x^2+3

3/2x^4+5x^2+14

Subtracting Polynomials

100

Simplify the following, and put your solution in standard form:

(-5+6x)-(7x-2)

-x-3

200

Subtract 5x from 

x^2-5x

x^2-10x

300

Subtract A from B when

A=2x^2-5x+3

B=-2x^2-3x-2

-4x^2+2x-5

400

Find the value of the difference in standard form when C is subtracted from twice the sum of A and B:

A=x^2-1

B=-x^2-1

C=x^2+1

-x^2-5

500

What is the difference (a-b) between the following differences?

a= A is taken away from B

b= A is subtracted by B

A=x^2-4x-7

B=-2x^2-3x+8

6x^2-x-30

Multiplying Polynomials

100

Express the following value as a trinomial:

(x-6)(x+4)

x^2-2x-24

200

Express the following as a trinomial:

(3x-4)(5x+1)

15x^2-17x-4

300

Express the following as a trinomial:

5(x+2)(x-1)

5x^2+5x-10

400

Express the following as a trinomial:

4x(8-x)(x+6)

-4x^3+8x^2+192x

500

Express the following as a trinomial:

-x(4x^3-2x^2)(x+1)

-4x^5-2x^4+2x^3

Vocab and Random Knowledge

100

Express the following in standard form:

-x^3+5x+x^5-1

x^5-x^3+5x-1

200

What is Mr. Ryder's birth month?

[Double points for birthday]

October 19th

300

What is the sum of the leading coefficient and the degree of the following polynomial?

x^5-3x^4-x^3+x-7x^5

-1

400

Name a country with 100m-200m people:

Bangladesh, Russia, Mexico, Ethiopia, Japan, Philippines, Egypt, Democratic Republic of the Congo

500

Who won the most olympic gold medals of all time in one olympics? How many did he win?

Michael Phelps - 8